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Finding the Fourth Proportional to 2,907, 4,028.57 and 2,851.60

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Solution

The fourth proportional to 2,907, 4,028.57 and 2,851.60 is: 3,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907 : 4,028.57 = 2,851.60 : x
  2. Step 2: Convert to fraction form
    2,907/4,028.57 = 2,851.60/x
  3. Step 3: Cross multiply
    2,907x = 4,028.57 × 2,851.60
  4. Step 4: Simplify right side
    2,907x = 11,487,870.21
  5. Step 5: Solve for x
    x = 11,487,870.21/2,907
  6. Step 6: Final answer
    x = 3,951.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.